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Non-fragile extended dissipative state estimation for delayed discrete-time neural networks: application to quadruple tank process model

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Abstract

This paper deals with the non-fragile state estimator design to study the robust extended dissipativity criterion for a class of discrete-time neural networks (DNNs) involving uncertainties as well as time-varying delay components. The requisite of the proposed problem is to design a proper state estimator such that the dynamics of the corresponding estimation error is extended dissipative having external disturbance and unpredictable fragility performance. By constructing an appropriate Lyapunov–Krasovskii functional (LKF), the sufficient conditions for the extended dissipativity performance of the error system obtained by means of the proposed DNNs and its estimator which includes the \(H_{\infty }\) performance, \(L_{2}-L_{\infty }\) performance, passivity and dissipativity performance in a unified framework. The established theoretical results are expressed in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical softwares. In order to analyze the applicability and effectiveness of the proposed theoretical results, numerical examples including a quadruple tank process (QTP) system model have been illustrated with simulation results.

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Funding

This work was supported by the Department of Atomic Energy (DAE) through the National Board for Higher Mathematics (NBHM) funded by the Government of India (under Grant 02011/16/2019/R & D II/2599).

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Authors and Affiliations

  1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, 624 302, India

    G. Nagamani, B. Adhira & G. Soundararajan

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  1. G. Nagamani
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  2. B. Adhira
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  3. G. Soundararajan
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Correspondence to G. Nagamani.

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Nagamani, G., Adhira, B. & Soundararajan, G. Non-fragile extended dissipative state estimation for delayed discrete-time neural networks: application to quadruple tank process model. Nonlinear Dyn 104, 451–466 (2021). https://doi.org/10.1007/s11071-021-06270-0

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